Which of the following are examples of both projectile motion and 2-dimensional motion?

Answer:

A. 60 Joule

Explanation:

First find the force given the pressure and area.

F = AP

F = 500 cm² × (1 m / 100 cm)² × 4000 N/m²

F = 200 N

Now find the work:

W = Fd

W = 200 N × 30 cm × (1 m / 100 cm)

W = 60 J

Explanation:

Pressure is the ratio of normal force to the area.

[tex]\texttt{Pressure = }\frac{\texttt{Normal force}}{\texttt{Area}}[/tex]

Force = Pressure x Area

Area = 500 cm² = 0.05 m²

Pressure = 4000 Pa

Force = 0.05 x 4000 = 200 N

We know that

                Work done = Force x Displacement

                 W = F x d

                 Displacement, d = 30 cm = 0.3 m

                 W = 200 x 0.3 = 60 Joules.

Option A is the correct answer.

Answer:

4.351968e+17 seconds

Explanation:

So I googled age of the universe and it says 13.8 billion years.

you'll have to do some conversions:

in one year, there are 365 days. in one day, there are 24 hours. in one hour, there are 3600 seconds.

[tex]\frac{1 year}{365 days} x \frac{1 day}{24 hours} x \frac{1 hour}{3600 seconds}[/tex]

so you have to add in the current age of the universe to that equation:

[tex]\frac{x seconds}{13.8 bil years} x \frac{1 year}{365 days} x \frac{1 day}{24 hours} x \frac{1 hour}{3600 seconds}[/tex]

arranged so that the proper "units" will read as "x seconds" at the end of the equation.

then you do the math to find x:

13.8 billion x 365 x 24 x 3600 = 4.351968e+17 seconds.

which would be 435,196,800,000,000,000 seconds

Hope this helps :)

Final answer:

The age of the universe is approximately 13.8 billion years, estimated using the Hubble constant. For a Hubble constant of 70 kilometers/second per million parsecs, the age of the universe is about 13.8 billion years. The age of the universe is approximately 13.799 billion years. Converting this into seconds, we get around 4.358 × 10^17 seconds with a margin of error due to uncertainty.

Explanation:

The student has asked for the age of the universe in seconds. To determine this, we use the currently accepted estimate for the age of the universe, which is approximately 13.799 billion years. To convert this age into seconds, we follow these steps:

First, convert the age in years to seconds by multiplying by the number of seconds in a year (31,536,000). Since there are ± 0.038 billion years of uncertainty, calculate the margin of error in seconds by multiplying 0.038 billion years by the number of seconds in a year. Performing the calculations, we find that the age of the universe in seconds is approximately 4.358 × 10^17 seconds, with an uncertainty of about 1.2 × 10^15 seconds. This answer provides an estimation based on the current understanding of astrophysics and cosmology.

Answer:

The step down transformer reduces this voltage to 6 volts. The string wire of the sonometer is a non-magnetic metallic wire like brass or copper. A horse shoe magnet is placed at the middle of the sonometer wire so that the magnetic field is applied perpendicular to the sonometer wire in a horizontal plane.

Hope this helps!

In a sonometer, the purpose of a magnet is to create a magnetic field that interacts with an electrically charged wire to induce vibrations and produce sound.

The purpose of a magnet in a sonometer is to provide a magnetic field which can interact with an electric current through a wire or a strip that is stretched across the sonometer. When alternating current flows through the wire, it oscillates due to the magnetic force exerted by the magnet. This magnetic interaction causes the wire to vibrate, producing sound waves whose frequencies are related to the tension, length, and mass per unit length of the wire.

Understanding the influence of geometric considerations and background contributions is critical for accurate measurements. A magnetometer with a second-order gradiometer design minimizes background noise and stray field effects, essential for precise studies. In this context, the sonometer can serve as a demonstrative tool for such magnetic field sensors.

Answer:

A. 0.012 Watts

Explanation:

P = IV = I² R

Given I = 0.02 A and R = 30 Ω:

P = (0.02)² (30)

P = 0.012 W

The power in an electrical circuit is given by the equation P= PR, the power in the circuit is 0.6 watts. The correct option is D.

In physics and electrical circuits, power refers to the rate at which work is done or energy is conveyed. It quantifies the rate at which energy is used or generated in a system.

The power in an electrical circuit may be calculated using the equation P = I * R, where P is the power, I is the current flowing through the circuit, and R is the circuit's resistance.

The current (I) is 0.02 amps in this example, while the resistance (R) is 30 ohms.

P = I * V

P = 0.02 A * 30 Ω

P = 0.6 watts

Therefore, the power in the circuit is 0.6 watts.

Thus, the correct answer is D. 0.6 watts.

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If an atom has 34 protons and 40 neutrons, the mass number is 74.

Explanation:

Mass number is related to the protons and neutrons. It is the product of the above two subatomic particles. Hence the mass number and the atomic number are dependent upon the subatomic particles of an atom. From the given data in the question, mass number of the atom is calculated as, 34 + 40 = 74.

Answer:A)

Explanation:

Well It makes the Most sense. The momentum of the Cars were lessened due to the hit.

B is wrong because not only did the red car crash but so did the blue so the real answer should be both.

C makes no sense at all.

D The momentum is lost after collision so it is not the same, so this is false also.

HOPE THIS HELPS! :)

Breaking a bar magnet in half results in two smaller magnets each with a north and south pole, illustrating that magnets always have two poles and magnetic 'monopoles' do not exist in isolation.

If you break a bar magnet in half, the result is not a separation of magnetic poles, but rather the creation of two smaller magnets, each with its own north and south pole. This outcome underscores a fundamental principle of magnetism: magnets are always dipolar, meaning they have two poles. The behavior of magnets when broken can be traced to the atomic level, where even the tiniest particles that exhibit magnetism possess a north and south pole.

Unlike electric charges, which can exist in isolation, magnetic 'monopoles' have not been observed. Instead, the magnetic properties of materials like iron derive from the orientation of electrons' rotation, offering a microscopic explanation for why severing a magnet produces smaller dipoles rather than isolated poles.

Answer:

Both are electromagnetic waves

Explanation:

Both microwaves and light waves form a part of the electromagnetic spectrum. Electromagnetic waves are produced as a result of oscillating magnetic and electric fields. when arranged in order of frequencies and wavelengths they form the electromagnetic spectrum.

Answer:

The attraction of Br⁻ to H⁺ and Na⁺ to OH⁻

Explanation:

NaBr is an ionic compound and would easily be dissociated by water in solutions.

Water is a polar covalent molecule and with a partial dipole on it. The hydrogen ions have a positive charge and the hydroxyl ions are negatively charged.

In solutions with water, NaBr dissolves. This releases the sodium and bromide ion into the solution. The Bromide ion becomes hydrated and surrounded by the water molecules. The negatively charged end of the water molecule bonds with the Na ion and the positive end bonds with the negative part of the water molecule. This bonding provides the NaBr an ease of movement in its lattice structure.

This procedure leads to the solubility of NaBr in water.

Answer: Electrons are transferred → Ions form → Ions are attracted to each other

Explanation:

Answer: Option (d) is the correct answer.

Explanation:

An ionic bond is defined as the bond that is formed by transfer of electron(s) from one atom to another.

For example, Lithium has atomic number 3 and first, it will form an ion by loosing an electron.

         [tex]Li \rightarrow Li^{+} + 1e^{-}[/tex]

On the other hand, chlorine has atomic number 17 and it needs one electron to form a chlorine ion. So, it will gain an electron from lithium atom.

          [tex]Cl + 1e^{-} \rightarrow Cl^{-}[/tex]

Therefore, these ions will then get attracted towards each other resulting in the formation of lithium chloride compound.

Thus, we can conclude that the correct order of steps during the formation of an ionic bond is ions form - Electrons are transferred – Ions are attracted to each other.

[tex]a = \frac{v - u}{t} [/tex]

^^acceleration formula

[tex]s = \frac{1}{2} (u + v) \: t[/tex]

^^displacement formula

since the acceleration due to gravity is 9.8m/s^2 or 10m/s^2

9.8 = v-0/5

v = 49m/s

s= 1/2 (49m/s +0 m/s) 5

s= 122.5m

For vertical motion, use the following kinematics equation:

H(t) = X + Vt + 0.5At²

H(t) is the height of the ball at any point in time t for t ≥ 0s

X is the initial height

V is the initial vertical velocity

A is the constant vertical acceleration

Given values:

X = 1.4m

V = 0m/s (starting from free fall)

A = -9.81m/s² (downward acceleration due to gravity near the earth's surface)

Plug in these values to get H(t):

H(t) = 1.4 + 0t - 4.905t²

H(t) = 1.4 - 4.905t²

We want to calculate when the ball hits the ground, i.e. find a time t when H(t) = 0m, so let us substitute H(t) = 0 into the equation and solve for t:

1.4 - 4.905t² = 0

4.905t² = 1.4

t² = 0.2854

t = ±0.5342s

Reject t = -0.5342s because this doesn't make sense within the context of the problem (we only let t ≥ 0s for the ball's motion H(t))

t = 0.53s

Final answer:

In the Physics topic of projectile motion, it takes approximately 0.5345 seconds for a ball to reach the ground after rolling off a 1.4-meter high table horizontally at a speed of 4 m/s. This calculation is based on the free fall motion equation considering a gravitational acceleration of 9.8 m/s².

Explanation:

The subject of this question is Physics, particularly the topic of projectile motion. To determine how long it takes for a ball to reach the ground when it is rolled off a table, we need to use the equations of motion for objects in free fall. Since the horizontal motion and vertical motion are independent of each other, we only need to consider the vertical motion to answer this question.

Step-by-Step Calculation:

Identify the known variables: the height of the table (h) is 1.4 meters, and the acceleration due to gravity (g) is 9.8 m/s² (assuming earth's gravity).

The initial vertical velocity (vi) is 0 m/s since the ball is rolling off horizontally.

Use the equation for the vertical motion in free fall: h = vi * t + (1/2) * g * t², where t is the time in seconds.

Plugging in the known values, we get 1.4 = 0 * t + (1/2) * 9.8 * t².

Simplifying, we have 1.4 = 4.9 * t², which gives us t² = 1.4 / 4.9.

Calculating t², we find it equals approximately 0.2857.

Take the square root of both sides to find the time (t), which is roughly 0.5345 seconds.

Therefore, the ball takes approximately 0.5345 seconds to reach the ground after rolling off the table.

Answer:

Blind search

Explanation:

The blind search is a problem solving strategy which can be used to solve the problems of relatively simpler nature, and can only distinguish non-goal and goal state with no idea that which state is more promising.

In this example, blind search was used to reach the goal (Going up and down each isle).

Hope it helps!

Answer:

A) The event horizon, singularity, and the chute located between the two.

Answer:

Black holes have three major parts that include A) The event horizon, singularity, and the chute located between the two.

Explanation:

A black hole is a celestial object that has an extremely important mass in a very small volume. They are cold remains of very old stars that contain a lot of matter in a compact space. Because of this, they have a great force of gravity.

Black holes are only formed by very massive stars. When they collapse on themselves forming a well in space: a black hole. If they are not so massive, the matter they are made of can stop the collapse and form a dying star that barely shines: a white dwarf or a neutron star.

Black holes have three main parts that include:

Explanation:

Carbon-14 is a radioactive isotope of carbon and has a half-life of 5730 years. Due to its presence in all organic materials, this radioisotope is used in the dating of organic specimens.

However, this test is only useful for samples of thousands of years, for samples with ages of millions of years is not useful because the half-life of carbon-14 is lower.

In addition, there is a factor that negatively influences the accuracy of the test, the fact that the concentration of carbon-14 in the terrestrial atmosphere has not remained constant over time. This is due to changes in the flow of cosmic radiation and solar activity, changes in the intensity of the earth's magnetic field and the artificial production of this radiosotope between the 1950s and 1960s with the nuclear tests carried out.

Answer:

the answer is a

Explanation:

Answer:

Not between significant digits.

Explanation:

A zero not significant when it's not between significant digits.

Answer:

Zero are not significant when indicating the decimal point position

Explanation:

The number zero has a special meaning with respect to its meaning, when it is placed to the right as a decimal, its meanings so precision measurements were made, for example 10 cm and 10.0 cm, the first one has an accuracy of one centimeter and the second has an accuracy of 0.1 cm.

In the case of being placed to the left of all numbers, the meaning is to indicate where the decimal point goes, but it does not give information about the accuracy of the measurement, in this second case the zeros are not significant, for example: 0.1 0.0001 in these two cases are not significant

Answer:

60 kg

Explanation:

The man's weight is equal to the weight of the water he displaces.

mg = ρVg

m = ρV

m = (1000 kg/m³) (3 m × 2 m × 0.01 m)

m = 60 kg

The man's mass is 60 kg.

Explanation:

Ohm's law describes the relationship between voltage, current, and resistance.

V = IR

where V is voltage, I is current, and R is resistance.

A. At the original voltage:

V₁ = I₁ R₁

When the voltage is doubled and resistance stays the same:

2V₁ = I₁' R₁

Dividing the two equations:

2V₁ / V₁ = (I₁' / I₁) (R₁ / R₁)

2 = I₁' / I₁

So the new current is double the original current.

B. At the original voltage and resistance:

V₂ = I₂ R₂

When both the voltage and resistance are increased by a factor of 2:

2V₂ = I₂' (2R₂)

Dividing the two equations:

(2V₂ / V₂) = (I₂' / I₂) (2R₂ / R₂)

2 = (I₂' / I₂) (2)

1 = I₂' / I₂

So the new current is the same as the original current.

Based on Ohm's Law, if voltage in an electric circuit is doubled, the current also doubles. However, if both voltage and resistance are doubled, the current remains the same.

The subject you're asking about is focused on how changes in voltage and resistance can affect current, according to Ohm's law. Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. It can be represented by the formula I = V/R, where I is the current through the conductor, V is the voltage, and R is the resistance.

If the voltage is increased by a factor of 2, while the resistance remains constant, the current would also increase by a factor of 2. So the ratio Ifinal1/Iinitial1 would be 2/1 = 2.

If both the voltage and resistance are increased by a factor of 2, the current would remain the same, because the increase in voltage would be offset by the increase in resistance. Thus, the ratio Ifinal2/Iinitial2 would be 2/2 = 1.

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Ek = 1/2 m v^2

Ek = 1/2 × 60 × 2^2

Ek = 1/2 × 60 × 4

Ek = 120 J

the kinectic energy is 120 J

Answer:

1.Theimage will be located at -0.13m or -13 cm

2.The height of the image will be 0.052m or 5.2cm

Explanation:

Given that;

Height of object, h=20 cm = 0.2m

Object distance in front of convex mirror, o,= 50 cm =0.5m

Radius of curvature, r, =34 cm =0.34m

Let;

Image distance, i,=?

Image height, h'=?

You know that focal length,f, is half the radius of curvature,hence

f=r/2 = 0.34/2 = 0.17m ( this length is inside the mirror, in a virtual side, thus its is negative)

f= -0.17m

Apply the relationship that involves the focal length;

[tex]=\frac{1}{o} +\frac{1}{i} =\frac{1}{f}[/tex]

[tex]=\frac{1}{0.5} +\frac{1}{i} =-\frac{1}{0.17}[/tex]

Re-arrange to get i

[tex]\frac{1}{i} =-2-5.88\\\\\\\frac{1}{i} =-7.88\\\\i=-0.13m[/tex]

This is a virtual image formed at a negative distance produced through extension of drawing rays behind the mirror if you use rays to locate the image behind the mirror

Apply the magnification formula

magnification, m=height of image÷height of object

[tex]m=\frac{h'}{h} =-\frac{i}{o}[/tex]

substitute the values to get the height of image h'

[tex]\frac{h'}{0.20} =-\frac{-0.13}{0.5} \\\\\\h'=\frac{0.13*0.20}{0.5} \\\\\\h'=\frac{0.025}{0.5} =0.052m\\\\\\h'=5.2cm[/tex]

Explanation:

those are the examples

Answer:

120 m/s

Explanation:

Acceleration = 6.4 m/s²

Initial velocity = 0 m/s

Time = 18 s

v = at + v₀

v = (6.4)(18) + 0

v = 115.2

Rounded to two significant figures, the final velocity is 120 m/s.

Answer:

588 N

Explanation:

Since the 60 kg is moving at a constant velocity there is no acceleration. In order for the system to be balanced, both the normal force and the force of gravity must be equal. In this case the man has a mass of 60 kg. So to find the force you multiply mass by gravitys constant (9.81). And you end up with an answer of 588.6 but I rounded to 588.

The reactive force acting on the man by the elevator is about 588 Newton

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\large {\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

Given:

mass of the man = 60 kg

velocity of the lift = 5 m/s

Unknown:

reactive force = N = ?

Solution:

We will use Newton's 2nd law formula for this problem.

[tex]\Sigma F = ma[/tex]

[tex]N - w = ma[/tex]

[tex]N - mg = ma[/tex]

[tex]N - 60(9.8) = 60(0)[/tex] → constant velocity ⇒ a = 0

[tex]N = 0 + 588[/tex]

[tex]N = 588 ~ Newton[/tex]

Grade: High School

Subject: Physics

Chapter: Dynamics

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

Yes, scientific method can be applied on many everyday activities to get a reasonable solution. Infact normally we are applying this method without having it in our knowledge that we are applying it.

For example: In morning we are going to office and we start the car, but it is not started.You turn the engine again and again but it simply donot works.

Observation (the state of defining a problem):

The car is not started

Hypothesis (A possible solution based on the information we already know):

The car is not started because it might be out of gas or there can be some other technical fault.  

Experiment (testing of hypothesis by applying different methods of solving problem):

You get the fuel and put it inside the car but it still donot works and car didnot start. Experiment didnot get solution.

Analyze the results of data and test another hypothesis

You call a technician and he check with the car engine tries and finds out that the engine was out of order and needs repairing.

Draw conclusion:

The engine do not works when it is out of order and it is a cause of a car not being started.

Now the theory and law making part can not be applied on this case but it is a part of scientific method.

Hope it helps!

After the mechanical waves passes by, the particles of the medium will settle right back at their rest position (A).  

It doesn't matter whether the wave was a longitudinal or a transverse one.

B. The electric potential energy of charge is [tex]1.9 \times 10^{-4} \ \mathrm{J}[/tex] if charge of [tex]24 \ \mu \mathrm{C}[/tex] is at a location where electric potential is 8.0 V.

The capacity required charge to move from a place to another is termed as electric potential energy.

The potential energy is given by the formula:

[tex]P E=q \Delta V[/tex]

Where,

PE is electric potential energy

q is charge

[tex]\Delta V[/tex] is electric potential

Given:

[tex]q=24 \ \mu \mathrm{C}=24 \times 10^{-6} \ \mathrm{C}[/tex]

[tex]\Delta V=8.0 \ \mathrm{V}[/tex]

Now,

[tex]\Rightarrow P E=24 \times 10^{-6} \times 8.0[/tex]

[tex]\therefore P E=1.92 \times 10^{-4} \ J[/tex]

Hence, we can say that [tex]1.92 \times 10^{-4} \ J[/tex] is electric potential energy for the given conditions.

Answer:

a) -1.14 rev/min²

b) 9900 rev

c) -9.92×10⁻⁴ m/s²

d) 30.8 m/s²

Explanation:

First, convert hours to minutes:

2.2 h × 60 min/h = 132 min

a) Angular acceleration is change in angular velocity over change in time.

α = (ω − ω₀) / t

α = (0 rev/min − 150 rev/min) / 132 min

α = -1.14 rev/min²

b) θ = θ₀ + ω₀ t + ½ αt²

θ = 0 rev + (150 rev/min) (132 min) + ½ (-1.14 rev/min²) (132 min)²

θ = 9900 rev

c) The tangential component of linear acceleration is:

a_t = αr

First,  convert α from rev/min² to rad/s²:

-1.14 rev/min² × (2π rad/rev) × (1 min / 60 s)² = -1.98×10⁻³ rad/s²

Therefore:

a_t = (-1.98×10⁻³ rad/s²) (0.50 m)

a_t = -9.92×10⁻⁴ m/s²

d) The magnitude of the net linear acceleration can be found from the tangential component and the radial component:

a² = (a_t)² + (a_r)²

The radial component is the centripetal acceleration:

a_r = v² / r

a_r = ω² r

First, convert 75 rev/min to rad/s:

75 rev/min × (2π rad/rev) × (1 min / 60 s) = 7.85 rad/s

Find the radial component:

a_r = (7.85 rad/s)² (0.50 m)

a_r = 30.8 m/s²

Now find the net linear acceleration:

a² = (-9.92×10⁻⁴ m/s²² + (30.8 m/s²)²

a = 30.8 m/s²

The angular acceleration of the flywheel is -1.14 rev/min². It makes 9,900 revolutions before stopping. The tangential component of the linear acceleration at 75 rev/min is 3.927 m/s² and the net linear acceleration is 31.08 m/s².

The following are the solutions to those physics problems (assuming no slip, only the deceleration is involved) :

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{What s a successful result of science?}[/tex]

[tex]\huge\text{A discovery is a successfully result of science}[/tex]

[tex]\huge\text{Reason?}[/tex]

[tex]\huge\text{Well, because it known for the working or making}[/tex] [tex]\huge\text{'newer' discovers so it can tell us humans}[/tex] [tex]\huge\text{that something is theoretically correct}[/tex]

[tex]\boxed{\boxed{\huge\text{Thus the answer is A. a discovery}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

1. 31 Ω

2. 42 Ω

3. V = IR

4. 4 A

5. 1.37 A

Explanation:

Sorry if I make any mistakes reading your handwriting.  If I do, let me know and I'll fix it.

1.  "Resistors of 5Ω, 10Ω, and 16Ω are connected in series.  Find the total resistance."

The resistance of resistors in series is the sum:

R = R₁ + R₂ + R₃

R = 5Ω + 10Ω + 16Ω

R = 31Ω

2.  "The total resistance of two resistors connected in series is 75Ω.  The value of one resistor is 33Ω.  What is the value of the other one?"

Since they are in series, the total resistance is the sum:

75Ω = 33Ω + R

R = 42Ω

3. "State Ohm's law."

Ohm's law states that a voltage drop across a resistor is equal to the resistance times the current.

V = IR

4. To find the current, we first find the total resistance, then use Ohm's law.

R = 10Ω + 15Ω + 30Ω

R = 55Ω

V = IR

220 V = I × 55Ω

I = 4 A

5. Same steps as before.

R = 1.5Ω + 4Ω + 12Ω

R = 17.5Ω

V = IR

24 V = I × 17.5Ω

I = 1.37 A

Answer:

B. 1.5:1

Explanation:

Let's take mercury(Hg) for an example.

Mercury have proton number of 80 and neutron number of 121.

To know the ration, you need to divide the neutron number with the proton number.

121/80

=1.5/1

Then, change the answer to ratio form=1.5:1